Day1 translating verbal_phrases
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Day 1: Translating Verbal Phrases Algebra Day 1 Translating Verbal Phrases and sentences Variable A letter that is used to represent one or more numbers. In the expression m+5, the letter m is the variable Example Substituting a value for each variable in the expression and simplifying the resulting numerical expression Evaluating 2x+3y when x=1 and y=4 gives 2(1)+3(4) 2+12=14 Example Evaluate a variable expression Equation A mathematical sentence formed by setting two expressions equal 3x6=18 x+7 are equations Example Finding all solutions of the equation by using mental math of the properties of equality The solution of the equation n-3=4 is 7 Example Solution of an equation
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Transcript of Day1 translating verbal_phrases
Day 1: Translating Verbal Phrases
AlgebraDay 1
Translating Verbal Phrases
and sentences
VariableA letter that is used to represent one or
more numbers.
In the expression m+5, the letter m is the variable
Example
Substituting a value for each variable in the expression and
simplifying the resulting numerical expression
Evaluating 2x+3y when x=1 and y=4
gives 2(1)+3(4)2+12=14
Example
Evaluate a variable expression Equation
A mathematical sentence formed by setting two
expressions equal
3x6=18 x+7
are equations
Example
Finding all solutions of the equation by using mental math of the
properties of equality
The solution of the equation n-3=4 is 7
Example
Solution of an equation
Day 1: Translating Verbal Phrases
Homeworkthe product of 6 and w is 42
The sum of n and 8
1/3 of y
12 decreased by the quotient of x and 2
Homeworkthe product of 6 and w is 42
The sum of n and 8
1/3 of y
12 decreased by the quotient of x and 2
X
+
X
-
=6w = 42
n + 8
1/3y
12 - (x/2)
Homeworktwice a number
3 times x equals 12
the difference of c and 11 will be 22
seven equals n less than 13
Homeworktwice a number
3 times x equals 12
the difference of c and 11 will be 22
seven equals n less than 13
x
x =
- =
= -
2n
3x = 12
c - 11 = 22
7 = 13 - n
Writing ExpressionsA number increased by 5
7 less than a number
3 more than twice a number
4 decreased by the quotient of a number and 7
x + 5 x - 72x + 3 4 - x/7
Wednesdays Homework
The sum of 8 and twice a number 8 + 2x
2/3 of a number decreased by 14 2/3x - 14
-8 increased by the quotient of 13 and a number -8 + (13/x)
The difference of -2 and a number equals 15 -2 - y = 15
The sum of twice a number and 14 is -8 2y + 14 = -8
3/4 of a number decreased by -2 is 24 3/4y - (-2) = 24
Day 1: Translating Verbal Phrases
Writing Equations16 increased by a number is 27
The difference of twice a number and 3 equals -4
The product of 1/2 and a number is 36
-3 is equal to twice the sum of a number and 2
16 + y = 27 2y - 3 = -41/2y = 36 -3 = 2(y + 2)
Word ProblemThe population of Alexandria, Virginia increased by 17,000
people from 1990 to 2000. In 2000, the population of Alexandria
was 128,000 people. Write an equation to find the population of
Alexandria in 1990.
Word ProblemThe population of Alexandria, Virginia increased by 17,000
people from 1990 to 2000. In 2000, the population of Alexandria
was 128,000 people. Write an equation to find the population of
Alexandria in 1990.
Word ProblemLake Ontario, which has a depth of about 800 feet, is four times as deep as Lake Erie. Write an
equation to find the depth of Lake Erie.
Word ProblemLake Ontario, which has a depth of about 800 feet, is four times as deep as Lake Erie. Write an
equation to find the depth of Lake Erie.
Word ProblemPennsylvania, the second state
to enter the Union, was admitted 172 years before
Alaska. Alaska was admitted to the Union in 1959. Write an equation to determine when Pennsylvania was admitted to
the Union.
Day 1: Translating Verbal Phrases
Word ProblemPennsylvania, the second state
to enter the Union, was admitted 172 years before
Alaska. Alaska was admitted to the Union in 1959. Write an equation to determine when Pennsylvania was admitted to
the Union.
Word ProblemDunanda Falls and Union Falls
are two waterfalls in Yellowstone National Park. The difference between the heights of Union
Falls and the height of Dunanda Falls is 100 feet. Dununda Falls
is 150 feet tall. How tall is Union Falls.
Word ProblemDunanda Falls and Union Falls are
two waterfalls in Yellowstone National Park. The difference
between the height of Union Falls and the height of Dunanda Falls is
100 feet. Dununda Falls is 150 feet tall. How tall is Union Falls.
Word ProblemYou rent two movies from a video store for $6.95 each and g video games for $2.95 each. You have $25 to spend on the movies and the video games. Write an equation that represents the situation.
Word ProblemYou rent two movies from a video store for $6.95 each and g video games for $2.95 each. You have $25 to spend on the movies and the video games. Write an equation that represents the situation.
2($6.95) + $2.95g = $25
